Answer:
628/1300
Step-by-step explanation:
These are what would represent her problem..
We know that the population is declining at a rate of 14% per year.
The expression is:
N ( x ) = 206 * ( 0.86 ) ^ x
where x stays for years.
If we want to find the rate at which the population is declining per month we have to find:
![\sqrt[12]{0.86} = 0.9875](https://tex.z-dn.net/?f=%20%5Csqrt%5B12%5D%7B0.86%7D%20%3D%200.9875%20%20)
And 0.9875 ≈ 0.99
There are 12 months in a year so the exponent is: x/12
Answer:
b. ( .99 ) ^ x/12
Answer:
Step-by-step explanation:
Given that a farmer finds there is a linear relationship between the number of bean stalks, n, she plants and the yield, y, each plant produces
When we consider this graph as a straight line, the two points lying on the line would be
(30, 30) and (34, 28) taking n as horizontal and y vertical
Using two point equation we find that
the equation of the line is

Substitute the points as x =n

is the linear relationship between n and y
Solutions
To solve this problem we have to use the Pythagorean theorem. You can only use the Pythagorean theorem in Right Triangles. The longest side of the triangle is called the "hypotenuse". C² is the longest side so it is the hypotenuse . To calculate c² we have to do α² + β² = c².
Given
One leg of a right triangular piece of land has a length of 24 yards. They hypotenuse has a length of 74 yards. The other leg has a length of 10x yards.
First leg (24 yards) would be α
Second leg would be β
Hypotenuse (74 yards) would be c
Now we have points α β c.
a² (24) + β² ( x ) = c² (74)
Calculations
c² = α² + β²
74² = 24²+ β²
<span>5476 = 576 + </span>β²
5476 - 576 = β²
<span> </span>
<span>4900 = </span>β²
→√4900
<span> </span>
β<span> = 70 yards
</span>
<span>70 = 10x
</span>
<span>x = 70</span>÷<span>10 = 7 yards
</span>
The second leg = 7 yards